According to reports, The only exception Carson would make would be if the Muslim running for office publicly rejected all the tenets of Sharia and lived a life consistent with that, Carson told The Hill.
MY TAKE:
That still would not solve the problem of TAQQIYA.
Once you make LYING in order to achieve the greater goal of your religions supremacy acceptable, once you make LYING an inherent part of your tenet, anything you say ( even your oaths ) becomes suspect.
Agree.